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Popular >

(dy)/(dx)=(xy)/(x^2)

Solution

\frac{d y}{d x} = \frac{x y}{x ^{2}}

Solution

y = c_{1} x

Solution steps

\frac{d y}{d x} = \frac{x y}{x ^{2}}

Solve separable ODE:

y = c_{1} x

y = c_{1} x

Popular Examples

(dy)/(dx)=y^2sin(x),y(0)=3

\frac{d y}{d x} = y^{2} sin (x), y (0) = 3

(dy)/(dx)+xy=xy^{-1/2}

\frac{d y}{d x} + x y = x y^{- \frac{1}{2}}

(dx)/(dt)=37.5-3.5x

\frac{d x}{d t} = 37.5 - 3.5 x

(x+1)ydx+y^2e^xdy=0

(x + 1) y d x + y^{2} e^{x} d y = 0

(dy)/(dx)=(4x+xy^2)/(2y+x^2y)

\frac{d y}{d x} = \frac{4 x + x y ^{2}}{2 y + x ^{2} y}

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=(xy)/(x^2) ?
The solution for (dy)/(dx)=(xy)/(x^2) is y=c_{1}x